Air New Zealand's two largest markets (by a huge margin) are the trans-Pacific flights to the US and the trans-Tasman flights to Australia.
Both markets were effectively closed to them over the last few days, and will suffer greatly in the long term. The airline itself requires a rescue package from Singapore (25% shareholder) and the NZ government. Singapore has the option to withdraw from that rescue package until October, and AirNZ may still find itself legally liable for $500 million in entitlements for Ansett workers - with it's market capitalization now below $500 million it is a very sick beast.
In short, the New Zealand pilot market (never very strong) is at its lowest ebb for some time.